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Finding the Fourth Proportional to 101,720.64, 140,366.88 and 57,000

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Solution

The fourth proportional to 101,720.64, 140,366.88 and 57,000 is: 78,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,720.64 : 140,366.88 = 57,000 : x
  2. Step 2: Convert to fraction form
    101,720.64/140,366.88 = 57,000/x
  3. Step 3: Cross multiply
    101,720.64x = 140,366.88 × 57,000
  4. Step 4: Simplify right side
    101,720.64x = 8,000,912,160
  5. Step 5: Solve for x
    x = 8,000,912,160/101,720.64
  6. Step 6: Final answer
    x = 78,655.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.